51211200 has 168 divisors, whose sum is σ = 172346112. Its totient is φ = 13306880.

The previous prime is 51211189. The next prime is 51211211. The reversal of 51211200 is 211215.

It is an interprime number because it is at equal distance from previous prime (51211189) and next prime (51211211).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225487 + ... + 225713.

Almost surely, 2^51211200 is an apocalyptic number.

51211200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86173056).

51211200 is an abundant number, since it is smaller than the sum of its proper divisors (121134912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51211200 is a wasteful number, since it uses less digits than its factorization.

51211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 51211200 is about 7156.2001089964. The cubic root of 51211200 is about 371.3541806498.

Adding to 51211200 its reverse (211215), we get a palindrome (51422415).

The spelling of 51211200 in words is "fifty-one million, two hundred eleven thousand, two hundred".